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Finding the Third Proportional to 130,024 and 279,776

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Solution

The third proportional to 130,024 and 279,776 is: 602,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,024 : 279,776 = 279,776 : x
  2. Step 2: Convert to fraction form
    130,024/279,776 = 279,776/x
  3. Step 3: Cross multiply
    130,024x = 279,776 × 279,776
  4. Step 4: Simplify right side
    130,024x = 78,274,610,176
  5. Step 5: Solve for x
    x = 78,274,610,176/130,024
  6. Step 6: Final answer
    x = 602,001.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.